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2442539538 = 232316779827
BaseRepresentation
bin1001000110010110…
…0011001000010010
320022020001212100100
42101211203020102
520000242231123
61042212033230
7114346146345
oct22145431022
96266055310
102442539538
11104382811a
12582002816
132cc06138a
1419257445c
15e467a643
hex91963212

2442539538 has 96 divisors (see below), whose sum is σ = 5621391360. Its totient is φ = 765404640.

The previous prime is 2442539537. The next prime is 2442539551. The reversal of 2442539538 is 8359352442.

2442539538 is a `hidden beast` number, since 24 + 42 + 53 + 9 + 538 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2442539493 and 2442539502.

It is not an unprimeable number, because it can be changed into a prime (2442539537) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2953081 + ... + 2953907.

It is an arithmetic number, because the mean of its divisors is an integer number (58556160).

Almost surely, 22442539538 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2442539538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2810695680).

2442539538 is an abundant number, since it is smaller than the sum of its proper divisors (3178851822).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2442539538 is a wasteful number, since it uses less digits than its factorization.

2442539538 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012 (or 1009 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The square root of 2442539538 is about 49422.0551778252. The cubic root of 2442539538 is about 1346.7299984784.

The spelling of 2442539538 in words is "two billion, four hundred forty-two million, five hundred thirty-nine thousand, five hundred thirty-eight".

Divisors: 1 2 3 6 9 18 31 62 67 79 93 134 158 186 201 237 279 402 474 558 603 711 827 1206 1422 1654 2077 2449 2481 4154 4898 4962 5293 6231 7347 7443 10586 12462 14694 14886 15879 18693 22041 25637 31758 37386 44082 47637 51274 55409 65333 76911 95274 110818 130666 153822 164083 166227 195999 230733 328166 332454 391998 461466 492249 498681 587997 984498 997362 1175994 1476747 1717679 2025323 2953494 3435358 4050646 4377311 5153037 6075969 8754622 10306074 12151938 13131933 15459111 18227907 26263866 30918222 36455814 39395799 78791598 135696641 271393282 407089923 814179846 1221269769 2442539538